Question

which of the following is an equivalent fraction of 2/3 ? a.4/9 b. 6/13 c.8/11 d. 10/15​

Answer 1

10/15 is equivalent to 2/3

divide numerator and denominator of 10/15 by 5 you will get 2/3

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Answer 2

Given:

2/3

To find:

An equivalent fraction of 2/3

Solution:

The required equivalent fraction is 10/15. (Option d)

We need to obtain the lowest form of the given fractions to determine the required equivalent fraction.

The fractions given are as follows-

4/9, 6/13, 8/11, 10/15

Out of these, the fraction that will have 2/3 as its lowest form will be the required fraction.

We will write the fractions as a product of their factors.

4/9=2×2/3×3

6/13=2×3/1×13

8/11=2×4/1×11

10/15=2×5/3×5

Now, only in 10/15, there is a common factor 5.

So, after eliminating 5, 10/15 can also be written as 2/3.

Therefore, the required equivalent fraction is 10/15.